(Higgs)2,3 quantum fields in a finite volume - I. A lower bound

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

We consider a Euclidean model of interacting scalar and vector fields in two and three dimensions, and prove a lower bound for vacuum energy in a lattice approximation. The bound is independent of a lattice spacing; it is proved with the help of renormalization transformations in Wilson-Kadanoff form. It extends in principal also to generating functional for Schwinger functions.

Original languageEnglish (US)
Pages (from-to)603-626
Number of pages24
JournalCommunications In Mathematical Physics
Volume85
Issue number4
DOIs
StatePublished - Dec 1 1982
Externally publishedYes

Fingerprint

Quantum Fields
Higgs
Finite Volume
Lower bound
Renormalization
Scalar Field
Spacing
Three-dimension
Euclidean
Vector Field
Two Dimensions
Vacuum
spacing
scalars
vacuum
Approximation
Energy
approximation
energy
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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(Higgs)2,3 quantum fields in a finite volume - I. A lower bound. / Balaban, Tadeusz.

In: Communications In Mathematical Physics, Vol. 85, No. 4, 01.12.1982, p. 603-626.

Research output: Contribution to journalArticle

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